of the unit circle \({\mathbb {U}}\) . By [1]} or
[2]} the Maslov index of the continuous
Lagrangian paths \(Y\)  and \(\hat{Y}\)  is defined as the integer number
\( \operatorname{\text{\rm Mas}}\hspace*{1.0pt}(Y,\hat{Y},[a,b]):=\sum _{k=1}^p\Big (\ell (t_k,\varepsilon _k)-\ell (t_{k-1},\varepsilon _k)\Big ).\) 
